10 citations · 20 across the 5 of their papers we have counts for
3 papers · 1 filter
Smooth *-algebras
Michel Dubois-Violette, Andreas Kriegl, Yoshiaki Maeda +1
Looking for the universal covering of the smooth non-commutative torus leads to a curve of associative multiplications on the space $\Cal O_M'(\Bbb R^{2n})\cong \Cal O_C(\Bbb R^{2n…
Extensions of super Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the…
n-ary Lie and Associative Algebras
Peter W. Michor, Alexandre M. Vinogradov
With the help of the multigraded Nijenhuis-- Richardson bracket and the multigraded Gerstenhaber bracket from [7] for every we define -ary associative algebras and thei…